Finding the Third Proportional to 35,612 and 76,585

Step by Step Solution

1. Step 1: Write the proportion equation
   35,612 : 76,585 = 76,585 : x
2. Step 2: Convert to fraction form
   35,612/76,585 = 76,585/x
3. Step 3: Cross multiply
   35,612x = 76,585 × 76,585
4. Step 4: Simplify right side
   35,612x = 5,865,262,225
5. Step 5: Solve for x
   x = 5,865,262,225/35,612
6. Step 6: Final answer
   x = 164,699.04